Simplify 27z^6+(-23u)

Mathematics

1 answer:

alukav5142 [94]3 years ago

5 0

Step 1. Simplify brackets

$27 z^{6} -23u$

Done! :)

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Let u = <-5, -9>, v = <6, 8>. Find -8u - 2v.

brilliants [131]

If u and v are indeed vectors,
$- 8u - 2v = - 8( - 5, - 9) - 2(6,8) \\ = (40,72) - (12,16) \\ = (28,56)$
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4 years ago

Read 2 more answers

A suburban high school has a population of 1376 students. The number of students who participate in sports is 649. The number of

Afina-wow [57]

108 / 1376 is the probability that a student participates in both sports and music.

Step-by-step explanation:

It is given that,

A suburban high school has a population of 1376 students.

Let the event A be the no.of students participated in sports.
Let the event B be the no.of students participated in music.

The number of students who participate in sports is 649.

The number of students who participate in music is 433.

To find the probability of event A (sports) :

P(sports) = No.of students participated in sports / Total students.

⇒ 649 / 1376

∴ P(A) = 649 / 1376

To find the probability of event B (music) :

P(music) = No.of students participated in music / Total students.

⇒ 433 / 1376

∴ P(B) = 443 / 1376

From the question, we know that the probability that a student participates in either sports or music is 974 /1376.

∴ P(A∪B) = 974 / 1376

To find the probability that a student participates in both sports and music :

The formula used here is,

P(A∩B) = P(A) + P(B) - P(A∪B)

⇒ 649 / 1376 + 433 / 1376 - 974 /1376

⇒ 108 / 1376

∴ P(A∩B) = 108 / 1376

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3 years ago

Which of the following is the general term for the sequence? -a, a^2, -a^3, a^4,...

Elis [28]

Answer:

The answer would be $-a(-a)^{n-1}$ .

Step-by-step explanation:

We can simply substitute the terms into this equation. Checking the 1st term, $-a(-a)^{1-1} = -a(-a)^{0} = -a(1) = -a$ . Moving on to the second term, we see $-a(-a)^{2-1} = -a(-a)^{1} = -a(-a) = a^{2}$ . And so on and so forth. We can see how the answer fluctuates between negative and positive, while gaining one more exponent every term, which fits with the sequence given. Therefore, the answer would be $-a(-a)^{n-1}$ .